Numerical Assessments of Cracks in Elastic-Plastic Materials. Lecture Notes in Applied Mechanics, Vol 4
Numerical Assessments of Cracks in Elastic-Plastic Materials. Lecture Notes in Applied Mechanics, Vol 4
复制标题
弹塑性材料裂纹的数值评估。
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
D. Mendelsohn
中科院分区：
文献类型：
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作者：
Huang Yuan;D. Mendelsohn
1.介绍。2.静止状态下的裂纹。- 2.1压力敏感材料的高阶解。2.1.1控制方程。2.1.2平面应变场2.1.3平面应力场2.1.4基于高阶解的双参数表征。2.2工程材料的双参数表征。2.2.1小规模生产领域。2.2.2一般屈服条件下的平面应变场2.3双轴载荷对平面应力裂纹的影响2.3.1小规模生产领域。2.3.2裂纹几何形状2.4三维裂缝前沿场。- 2.4.1修正的边界层公式。2.4.2裂纹试样。2.5备注。3.热机械载荷条件下的裂纹。3.1高温梯度下裂纹的表征。3.1.1裂纹尖端周围的J控制区。3.1.2 J？Q表征。平面应力裂纹尖端场3.2温度引起的材料不均匀性的标度。裂纹尖端参数3.2.2温度梯度的定标。3.3瞬态热负荷的影响。3.3.1有限元建模。3.3.2数值结果3.4备注。4.界面裂缝。- 4.1静态界面裂纹尖端场4.1.1 J2塑性理论下的裂缝。- 4.1.2压敏材料的裂纹。4.1.3一般弹塑性界面裂纹。4.2准静态裂纹扩展。- 4.2.1反平面裂纹。4.2.2面内界面裂纹。4.3动态界面裂纹增长。- 4.3.1反平面剪切模式III裂纹。平面应变界面裂纹4.4备注。5.混合型裂纹扩展。- 5.1 I型和III型组合条件下的静态裂纹扩展。5.1.1模式III扰动解。5.1.2模式I扰动解。5.2 I型和III型组合条件下的动态裂纹扩展。5.2.1微扰解的公式化。5.2.2模式III扰动解。5.2.3模式I扰动解。5.3备注。6. apex-V缺口的评估。6.1幂律硬化材料的高阶解。6.1.1计划应变缺口尖端场。6.1.2位于沿着界面的缺口的近尖端场。平面应力缺口尖端场6.1.4切口钝度的影响。6.2压力敏感材料上的缺口。平面应变尖端场6.2.2平面应力尖端场6.3备注。参考资料。
1. Introduction.- 2. Cracks under stationary conditions.- 2.1 Higher-order solutions for pressure-sensitive materials.- 2.1.1 Governing equations.- 2.1.2 Plane strain fields.- 2.1.3 Plane stress fields.- 2.1.4 Two-parameter characterization based on higher-order solutions.- 2.2 Two-parameter characterizations for engineering materials.- 2.2.1 Small-scale yielding fields.- 2.2.2 Plane strain fields under general yielding.- 2.3 Effects of biaxial loads to plane stress cracks.- 2.3.1 Small-scale yielding fields.- 2.3.2 Finite-cracked geometries.- 2.4 Three-dimensional crack front fields.- 2.4.1 Modified boundary layer formulations.- 2.4.2 Finite-cracked specimens.- 2.5 Remarks.- 3. Cracks under thermal-mechanical loading conditions.- 3.1 Characterization of cracks under high temperature gradients.- 3.1.1 J controlled zone around the crack tip.- 3.1.2 J ? Q characterization.- 3.1.3 Plane stress crack tip fields.- 3.2 Scaling of temperature-induced material inhomogeity.- 3.2.1 Crack tip parameters.- 3.2.2 Scaling of temperature gradients.- 3.3 Effects of transient thermal loading.- 3.3.1 Finite element modeling.- 3.3.2 Numerical results.- 3.4 Remarks.- 4. Interface cracks.- 4.1 Stationary interface crack tip fields.- 4.1.1 Cracks under the J2 plasticity theory.- 4.1.2 Cracks in pressure-sensitive materials.- 4.1.3 General elastic-plastic interface cracks.- 4.2 Quasi-static crack growth.- 4.2.1 Anti-plane cracks.- 4.2.2 In-plane interface cracks.- 4.3 Dynamic interface crack growth.- 4.3.1 Anti-plane shear mode III cracks.- 4.3.2 Plane strain interface cracks.- 4.4 Remarks.- 5. Mixed mode crack propagation.- 5.1 Static crack growth under combined mode I and III conditions.- 5.1.1 Mode III perturbation solutions.- 5.1.2 Mode I perturbation solutions.- 5.2 Dynamic crack growth under combined mode I and III conditions.- 5.2.1 Formulation of a perturbation solution.- 5.2.2 Mode III perturbation solutions.- 5.2.3 Mode I perturbation solutions.- 5.3 Remarks.- 6. Assessment of apex-V notches.- 6.1 Higher-order solutions for power-law hardening materials.- 6.1.1 Plan strain notch-tip fields.- 6.1.2 Near-tip fields for a notch lying along an interface.- 6.1.3 Plane stress notch-tip fields.- 6.1.4 Effects of the notch bluntness.- 6.2 Notches in pressure-sensitive materials.- 6.2.1 Plane strain tip fields.- 6.2.2 Plane stress tip fields.- 6.3 Remarks.- References.